The H_∞ control problem using static output feedback

Abstract

Abstract In this paper we shall consider the H ∞ control problem using static output feedback. The approach uses some recent results from linear algebra. The main result shows that the H ∞ control problem is solvable by a static output feedback controller if and only if there exists a positive definite matrix satisfying two certain quadratic matrix inequalities. A parametrization of all static output feedback H ∞ controllers is given.